Path: Top -> Journal -> Jurnal Internasional -> Fuzzy Information and Engineering -> 2014 -> Volume 6, Issue 3, September
On Nash Equilibrium Strategy of Two-person Zero-sum Games with Trapezoidal Fuzzy Payoffs
Oleh : Bapi Dutta, S.K. Gupta, Fuzzy Information and Engineering
Dibuat : 2014-09-21, dengan 1 file
Keyword : Fuzzy numbersTwo-person zero-sum gamesFuzzy payoffsParametric bi-matrix gamePareto Nash equilibrium strategy
Url : http://www.sciencedirect.com/science/article/pii/S1616865814000429
Sumber pengambilan dokumen : web
In this paper, we investigate Nash equilibrium strategy of two-person zero-sum games with fuzzy payoffs. Based on fuzzy max order, Maeda and Cunlin constructed several models in symmetric triangular and asymmetric triangular fuzzy environment, respectively. We extended their models in trapezoidal fuzzy environment and proposed the existence of equilibrium strategies for these models. We also established the relation between Pareto Nash equilibrium strategy and parametric bi-matrix game. In addition, numerical examples are presented to find Pareto Nash equilibrium strategy and weak Pareto Nash equilibrium strategy from bi-matrix game.
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